Extended Error Expansion of Classical Midpoint Rectangle Rule for Cauchy Principal Value Integrals on an Interval

Table 2

Errors and convergence for the midpoint rectangle rule with .

32	2.2989e − 002	—	2.3986e − 000	1.3505e − 000
64	2.9689e − 002	—	2.7767e − 000	1.5907e − 000
128	3.3079e − 002	—	2.9831e − 000	1.7230e − 000
256	3.4782e − 002	—	3.0909e − 000	1.7924e − 000
512	3.5635e − 002	—	3.1459e − 000	1.8280e − 000
1024	3.6062e − 002	—	3.1738e − 000	1.8460e − 000
Convergence ratio	—	—	—	—